A292311 Expansion of Product_{k>=1} 1/(1 + k^k*x^k).

1, -1, -3, -24, -216, -2801, -42166, -762397, -15685040, -366477168, -9523974486, -273453483050, -8583651341879, -292700900034984, -10770969729108326, -425541512224476567, -17964544188354355022, -807097409926675847400

Offset

0,3

Links

Seiichi Manyama, Table of n, a(n) for n = 0..386

Formula

Convolution inverse of A265949.

a(n) ~ -n^n * (1 - exp(-1)/n - (exp(-1)/2 + 3*exp(-2))/n^2). - Vaclav Kotesovec, Sep 14 2017

Prog

(PARI) {a(n) = polcoeff(1/prod(k=1, n, 1+k^k*x^k+x*O(x^n)), n)}

Crossrefs

Cf. A023882, A265949.

Sequence in context: A232692 A000279 A370443 * A370986 A279973 A274737

Adjacent sequences: A292308 A292309 A292310 * A292312 A292313 A292314

Keyword

sign

Author

Seiichi Manyama, Sep 14 2017

Status

approved